What is the Greatest Common Factor of 38409 and 38419?

Greatest common factor (GCF) of 38409 and 38419 is 1.

GCF(38409,38419) = 1

We will now calculate the prime factors of 38409 and 38419, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38409 and 38419.

How to find the GCF of 38409 and 38419?

We will first find the prime factorization of 38409 and 38419. After we will calculate the factors of 38409 and 38419 and find the biggest common factor number .

Step-1: Prime Factorization of 38409

Prime factors of 38409 are 3, 7, 31, 59. Prime factorization of 38409 in exponential form is:

38409 = 3¹ × 7¹ × 31¹ × 59¹

Step-2: Prime Factorization of 38419

Prime factors of 38419 are 103, 373. Prime factorization of 38419 in exponential form is:

38419 = 103¹ × 373¹

Step-3: Factors of 38409

List of positive integer factors of 38409 that divides 38409 without a remainder.

1, 3, 7, 21, 31, 59, 93, 177, 217, 413, 651, 1239, 1829, 5487, 12803

Step-4: Factors of 38419

List of positive integer factors of 38419 that divides 38409 without a remainder.

1, 103, 373

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38409 and 38419. The biggest common factor number is the GCF number.
So the greatest common factor 38409 and 38419 is 1.

Also check out the Least Common Multiple of 38409 and 38419